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\caption{Descriptive Statistics for Chilean Choice Applicants\label{tabDescriptiveStats}}
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  &\multicolumn{1}{c}{(1)} &\multicolumn{1}{c}{(2)} &\multicolumn{1}{c}{(3)} &\multicolumn{1}{c}{(4)} &\multicolumn{1}{c}{(5)}\\
  &\multicolumn{1}{c}{All} &\multicolumn{1}{c}{Economically} &\multicolumn{1}{c}{Not} &\multicolumn{1}{c}{Pop-up} &\multicolumn{1}{c}{Risky}\\
  &\multicolumn{1}{c}{} &\multicolumn{1}{c}{Vulnerable} &\multicolumn{1}{c}{Economically} &\multicolumn{1}{c}{eligible} &\multicolumn{1}{c}{(predicted}\\
  &\multicolumn{1}{c}{} &\multicolumn{1}{c}{} &\multicolumn{1}{c}{Vulnerable} &\multicolumn{1}{c}{} &\multicolumn{1}{c}{risk$>$.3)}\\\midrule

N  & 1,168,706 & 575,521 & 593,185 & 848,795 & 233,678 \\ 
\%  & 1.00 & 0.49 & 0.51 & 0.73 & 0.20 \\ 
\\
\multicolumn{6}{l}{\textit{A. Demographics}} \\
Economically Vulnerable  & 0.49 & 1.00 & 0.00 & 0.51 & 0.37 \\ 
Rural  & 0.05 & 0.07 & 0.03 & 0.06 & 0.02 \\ 
\\
\multicolumn{6}{l}{\textit{B. Application behavior}} \\
Length initial attempt  & 2.77 & 2.61 & 2.93 & 2.70 & 2.36 \\ 
Length final attempt  & 3.14 & 2.92 & 3.36 & 3.06 & 3.20 \\ 
Total attempts  & 1.41 & 1.35 & 1.46 & 1.38 & 1.74 \\ 
Any modification  & 0.25 & 0.22 & 0.27 & 0.24 & 0.43 \\ 
Add any  & 0.21 & 0.19 & 0.23 & 0.21 & 0.41 \\ 
\\
\multicolumn{6}{l}{\textit{C. Placement}} \\
Placed in pref.  & 0.79 & 0.84 & 0.74 & 0.80 & 0.45 \\ 
Placed 1st  & 0.54 & 0.61 & 0.47 & 0.56 & 0.18 \\ 
Particip. in 2nd round  & 0.09 & 0.08 & 0.10 & 0.08 & 0.15 \\ 
Placed in 2nd round  & 0.07 & 0.06 & 0.07 & 0.06 & 0.11 \\ 
\\
\multicolumn{6}{l}{\textit{D. School capacity available after placement (at local market level defined for each student)}} \\
Share of total seats   & 0.42 & 0.41 & 0.42 & 0.42 & 0.50 \\ 
Share of seats in free schools  & 0.46 & 0.45 & 0.47 & 0.47 & 0.55 \\ 
\\
\multicolumn{6}{l}{\textit{E. Attributes of enrolled school}} \\
Enrolled at some school  & 0.97 & 0.98 & 0.96 & 0.97 & 0.95 \\ 
Enrolled at placed  & 0.62 & 0.66 & 0.57 & 0.63 & 0.31 \\ 
Have value added measure$|$grade$\leq$8  & 0.77 & 0.76 & 0.78 & 0.75 & 0.77 \\ 
Value added$|$enrolled at placed  & 0.11 & 0.06 & 0.14 & 0.10 & 0.20 \\ 
Value added$|$not enrolled at placed  & 0.04 & -0.03 & 0.10 & 0.04 & 0.08 \\ 
School monthly fee (USD)  & 17.02 & 10.20 & 24.05 & 15.14 & 24.25 \\ 
Share of vulnerable students  & 0.61 & 0.66 & 0.56 & 0.62 & 0.56 \\ 
\\
\multicolumn{6}{l}{\textit{F. Classification by true risk of initial attempt}} \\
Mean risk  & 0.24 & 0.18 & 0.30 & 0.23 & 0.69 \\ 
Zero risk  & 0.59 & 0.67 & 0.51 & 0.62 & 0.05 \\ 
Risky (risk$>$.3)  & 0.30 & 0.23 & 0.37 & 0.29 & 0.86 \\ 
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\floatfoot{\scriptsize
\textit{Notes. }N: 1,168,706 (20\% from 2018, 41\% from 2019 and 39\% from 2020). All statistics are means in the population defined by the column header. ``Pop-up eligible'' (col. 4) are students who submitted applications that received a risk prediction. ``Risky'' (col. 5) is applicants whose first attempt had a predicted risks $>$ 0.3. Selected row variable definitions are as follows. ``Economically vulnerable'' is an SES measure computed by Mineduc. ``Rural'' is an indicator if students live in rural areas. ``Length of initial/final attempt'' is the  number of schools on an applicants first and final choice application. ``Total attempts'' is the number of times an applicant submitted an application to the centralized system. Application change and addition variables describe the share of applicants making different kinds of changes applicants make between their first and final submission. ``Placed in pref/1st'' are indicators for any placement or for placement in the school ranked 1st. ``2nd round'' variables describe participation and placement outcomes in the second centralized placement round. ``Share of total seats/seats in free schools'' is the share of seats in all schools/in schools without fees unfilled after the first application round in a student's local market. Value added and school characteristic variables described in Online Appendix \ref{app:data}. VA is calculated only for grades 8 and below. True risk of initial attempt variables describe the nonplacement risk of an applicant's initial application, evaluated using ex post observed applications.
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